10 ...............................
Answer:
<h3>
A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78</h3>
Step-by-step explanation:
H = 2x+6 - the hight
3H = 3(2x+6) - triple the hight
3H-5 = 3(2x+6) - 5 - five less than triple the height
Area of triangle: A = 0.5BH
B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13
H = 2x+6
So:
A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78
A = 6x² + 49x + 78
Answer:
6x^3 +10x^2 -11x +15
Step-by-step explanation:
2x(3x2 + 8x – 4) – 3(2x2 + x – 5)
Distribute
6x^3 + 16x^2-8x -6x^2 -3x+15
Combine like terms
6x^3 + 16x^2 -6x^2 -3x-8x+15
6x^3 +10x^2 -11x +15
Standard form is from highest to lowest power
6x^3 +10x^2 -11x +15
Answer:
The probability that she chooses 3 spades and 2 cards that are not spades is
0.08154
Step-by-step explanation:
52 deck cards have 13 spades , 13 clubs , 13 diamond, 13 hearts
spades = 13
Non spades = 39
Selecting 3 spades = 13C3 (Using combination)
selecting 2 spades = 39C2
in total 5 cards are drawn = 52C5
Probability of drawing 5 cards (3spades+2 non spades)
=
= 0.08154
